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                Kthroad                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><pre style="text-indent: 21pt"><span style="font-size: medium">众所周知，在太阳系外围有一圈小行星带，而太阳系中离小行星带最近的Neptune往往面临着遭受小行星轰击的威胁。突然，某天Neptune上的天文台发现有一群小行星有k颗气势汹汹的袭来。作为Neptune的天文部长的小t想知道这些小行星分别要多久会撞到Neptune。你能够帮助他吗？</span></pre>
<pre style="text-indent: 21pt"><span style="font-size: medium">这些小行星的运行遵循以下一些规则：</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">1.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>任意两颗小行星不会经过完全一样的路径，但有可能有绝大部分相同。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">2.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>对于某些小行星有可能受到其路径上的比较大的矮行星的引力作用，而围绕某个区域转圈。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">3.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>由于力的方向性，所以所有路径方向都是一定的。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">4.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>我们把空间中小行星可能经过的地方抽象成一个个点，并标号。共有N个点</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">5.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>由于我们只关心其路径长度，所以并不给出这些点的具体坐标。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">6.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>两点间有可能有多条直接路径。任意两点间共有M条这样的路径。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">7.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>每课小行星在一个单位时间中会运动一个天文单位。且都会在当前的从起点到Neptune的最短路径上运行。</span></pre>
<pre style="margin-left: 39pt; text-indent: -18pt"><span style="font-size: medium">8.<span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp; </span>每颗小行星对于我们来说都是一样的。</span></pre>
<pre><span style="font-size: medium">&nbsp;&nbsp;&nbsp; 请你编程求出所有小行星从起点（同一个起点）到达Neptune的所需花费的时间。</span></pre>
<pre><span style="font-size: medium">&nbsp;&nbsp;&nbsp; </span></pre></p><hr/><h3>输入格式</h3><p><pre style="margin-left: 47.25pt; text-indent: -47.25pt"><span style="font-size: medium">第1行: 5个用空格隔开的整数：N、M、K、S、T，N个点M条边K个小行星, 起点的标号S，Neptune的标号T。</span></pre>
<pre style="text-indent: 5.25pt"><span style="font-size: medium">接下来M行每行3个大于0的整数，表示每条边的起点标号和终点标号以及这条边的长度。 </span></pre>
<pre><span style="font-size: medium">&nbsp;</span></pre></p><hr/><h3>输出格式</h3><p><pre><span style="font-size: medium">共有K行每行一个整数，表示一颗小行星所要花费的时间。</span></pre>
<pre><span style="font-size: medium">&nbsp;</span></pre></p><hr/><h3>样例输入</h3><pre>6 6 2 1 6
1 2 1
2 4 1
4 5 1
5 6 1
2 3 1
3 5 1
 
</pre><hr/><h3>样例输出</h3><pre>4
4
 
</pre><hr/><h3>提示</h3><p><p>数据约定N&lt;= 10000, M &lt;= 500000, K &lt;= 100<br />
对于所有数据在给定的数据范围内阶梯增长。<br />
</p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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